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Some bounds on reliability of coherent systems of IFRA components

Published online by Cambridge University Press:  14 July 2016

Gopal Chaudhuri ,
Jayant V. Deshpande  and
Avinash D. Dharmadhikari
Gopal Chaudhuri
Affiliation:
University of Poona
Jayant V. Deshpande
Affiliation:
University of Poona
Avinash D. Dharmadhikari*
Affiliation:
University of Poona
*
∗ Postal address: Department of Statistics, University of Poona, Pune — 411007, India
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Abstract

In this paper we find new bounds for the reliability of coherent systems of independent components with increasing failure rate average (IFRA) lifetimes. These bounds are based on certain bounds available for the survival functions of IFRA random variables and the fact that the IFRA class of life distributions is closed under the formation of coherent systems. These bounds are compared with other applicable bounds in this case. An illustration of explicit computations of the bounds is provided for the bridge structure with components having independent gamma life distributions.

Keywords

COHERENT STRUCTUREIFRA DISTRIBUTIONSRELIABILITY BOUNDS
Type
Short Communications
Information
Journal of Applied Probability , Volume 28 , Issue 3 , September 1991 , pp. 709 - 714
Copyright
Copyright © Applied Probability Trust 1991 

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References

Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston, New York.Google Scholar
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